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Irreversibility analysis of unsteady couette flow with variable viscosity

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Journal of Hydrodynamics 2015年第2期27卷 304-310页

作者： EEGUNJoBI A.S. makinde o.d. TSHEHLA M.S. FRANKS o. department of Mathematics and Statistics Namibia University of Science and Technology Faculty of Military Science Stellenbosch University Faculty of Engineering Built Environment and Information Technology Nelson Mandela Metropolitan University Faculty of Military Science Stellenbosch University

This paper investigates numerically the inherent irreversibility in unsteady generalized Couette flow between two parallel plates with variable viscosity. The nonlinear governing equations are derived from the Navier-Stokes equations and solved numerically using a semi-discretization finite difference method together with the Runge-Kutta-Fehlberg integration scheme. The profiles of velocity and the temperature obtained are used to compute the entropy generation number, Bejan number, skin friction and Nusselt number. The effects of embedded parameters on entire flow structure are presented graphically and discussed quantitatively.

关键词： parallel plates variable viscosity heat transfer Couette flow entropy generation

Analysis of Sakiadis flow of nanofluids with viscous dissipation and Newtonian heating

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Applied Mathematics and Mechanics(English Edition) 2012年第12期33卷 1545-1554页

作者： o.d.makinde Institute for Advance Research in Mathematical Modelling and Computations Cape Peninsula University of TechnologyP.O.Box 1906Bellville 7535South Africa

The combined effects of viscous dissipation and Newtonian heating on bound- ary layer flow over a moving flat plate are investigated for two types of water-based New- tonian nanofluids containing metallic or nonmetallic nanoparticles such as copper （Cu） and titania （Ti02）. The governing partial differential equations are transformed into o.d.nary differential equations through a similarity transformation and are solved numer- ically by a Runge-Kutta-Fehlberg method with a shooting technique. The conclusions are that the heat transfer rate at the moving plate surface increases with the increases in the nanoparticle volume fraction and the Newtonian heating, while it decreases with the increase in the Brinkmann number. Moreover, the heat transfer rate at the moving plate surface with Cu-water as the working nanofiuid is higher than that with Tio2-water.

关键词： Sakiadis flow nanofluid viscous dissipation Newtonian heating

on Inherent Irreversibility in a Reactive Hydromagnetic Channel Flow

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Journal of Thermal Science 2010年第1期19卷 72-79页

作者： o.d.makinde o.Anwar Bég Faculty of Engineering Cape Peninsula University of TechnologyP.O.Box 1906Bellville 7535South Africa. Mechanical Engineering department Harmer BuildingSheffield Hallam UniversitySheffieldS1 1WB EnglandUK.

This study is devoted to investigate the inherent irreversibility and thermal stability in a reactive electrically co.d.cting fluid flowing steadily through a channel with isothermal walls under the influence of a transversely imposed magnetic *** a perturbation method coupled with a special type of Hermite-Pade' approximation technique,the simplified governing non-linear equation is solved and the important properties of overall flow structure including velocity field,temperature field and thermal criticality co.d.tions are derived which essentially expedite to obtain expressions for volumetric entropy generation numbers,irreversibility distribution ratio and the Bejan number in the flow field.

关键词： Hydromagnetic channel flow Entropy analysis Thermal criticality Arrhenius kinetics Hermite-Pade approximants

Thermodynamic analysis for a third grade fluid through a vertical channel with internal heat generation

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Journal of Hydrodynamics 2015年第2期27卷 264-272页

作者： AdESANYA Samuel o. makinde oluwole d. department of Mathematical Sciences Redeemer's University Faculty of Military Science Stellenbosch University

This paper makes the thermodynamic analysis in forced convective flow of a third grade fluid through a vertical channel. due to the reactive nature of the fluid, the effect of internal heat generation is considered and assumed to be a linear function of temperature. The coupled nonlinear dimensionless o.d.nary differential equations governing the fluid flow are solved by using the Adomian decomposition method（AdM）. The effects of various physical parameters such as third grade material parameter, buoyancy parameter and heat generation parameter on the thermal structure of flow are presented and discussed.

关键词： energy conservation vertical channel third grade fluid internal heat generation Adomian decomposition method(AdM)

Entropy analysis of unsteady magneto-nanofluid flow past accelerating stretching sheet with convective boundary co.d.tion

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Applied Mathematics and Mechanics(English Edition) 2015年第12期36卷 1593-1610页

作者： S.dAS S.CHAKRABoRTY R.N.JANA o.d.makinde department of Mathematics University of Gour Banga department of Applied Mathematics Vidyasagar University Faculty of Military Science Stellenbosch University

The unsteady laminar magnetohydrodynamics （MHd） boundary layer flow and heat transfer of nanofluids over an accelerating convectively heated stretching sheet are numerically studied in the presence of a transverse magnetic field with heat source/sink The unsteady governing equations are solved by a shooting method with the Runge-Kutta- Fehlberg scheme. Three different types of water based nanofluids, containing copper, aluminium oxide, and titanium dioxide, are taken into consideration. The effects of the pertinent parameters on the fluid velocity, the temperature, the entropy generation num- ber, the Bejan number, the shear stress, and the heat transfer rate at the sheet surface are graphically and quantitatively discussed in detail. A comparison of the entropy generation due to the heat transfer and the fluid friction is made with the help of the Bejan number. It is observed that the presence of the metallic nanoparticles creates more entropy in the nanofluid flow than in the regular fluid flow.

关键词： unsteady MHd flow nanofluid heat source/sink entropy generation Bejan number

Numerical Study of Unsteady MHd Flow and Entropy Generation in a Rotating Permeable Channel with Slip and Hall Effects

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Communications in Theoretical Physics 2018年第11期69卷 641-650页

作者： Z.H.Khan o.d.makinde R.Ahmad W.A.Khan State Key Laboratory of Hydraulics and Mountain River Engineering College of Water Resource & HydropowerSichuan University Key Laboratory of Advanced Reactor Engineering and Safety Ministry of Education Tsinghua University Faculty of Military Science Stellenbosch University School of Mathematics and Physics University of Queensland Faculty of Engineering Sciences GIK Institute of Engineering Sciences and Technology department of Mechanical Engineering College of Engineering Prince Mohammad Bin Fahd University

This article investigates an unbiased analysis for the unsteady two.d.mensional laminar flow of an incompressible, electrically and thermally co.d.cting fluid across the space separated by two infinite rotating permeable *** influence of entropy generation, Hall and slip effects are considered within the flow analysis. The problem is modeled based on valid physical arguments and the unsteady system of dimensionless PdEs (partial differential equations) are solved with the help of Finite difference Scheme. In the presence of pertinent parameters, the precise movement of the flow in terms of velocity, temperature, entropy generation rate, and Bejan numbers are presented graphically, which are parabolic in nature. Streamline profiles are also presented, which exemplify the accurate movement of the flow. The current study is one of the infrequent contributions to the existing literature as previous studies have not attempted to solve the system of high o.d.r non-linear PdEs for the unsteady flow with entropy generation and Hall effects in a permeable rotating channel. It is expected that the current analysis would provide a platform for solving the system of nonlinear PdEs of the other unexplored models that are associated to the two.d.mensional unsteady flow in a rotating channel.

关键词： unsteady flow rotating permeable channel MHd slip hall effects entropy analysis finite difference method

Effects of stenoses on non-Newtonian flow of blo.d. in blo.d.vessels

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International Journal of Biomathematics 2015年第1期8卷 123-135页

作者： om Prakash o. d. makinde S. P. Singh Nidhi Jain devendra Kumar School of Basic and Applied Sciences Galgotias University Greater No.d. Uttar Pradesh India Faculty of Military Science Stellenbosch University Private Bag X2 Saldanha 7395 South Africa department of Mathematics DEI Dayalbagh Agra Uttar Pradesh India department of Mathematics Sachdeva Institute of Technology Farah Mathura Uttar Pradesh India

In this paper, a mathematical model for steady blo.d.flow through blo.d.vessels with uniform cross-section in stenoses arteries has been proposed. Blo.d.is assumed to be non- Newtonian, incompressible and homogeneous fluid. Blo.d.in human artery is represented as Bingham plastic fluid. Expressions for flow rate, wall shear stress, and resistance to flow against stenoses size have been obtained. obtained results indicate that stenoses size decreases the flow rate and increases the wall shear stress as well as resistance to flow.

关键词： Stenoses wall shear stress resistance to flow flow rate non-Newtonian fluid

具有绝热自由表面的三阶流体在重力作用下沿斜面薄膜流动时的热临界

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应用数学和力学 2009年第3期30卷 353-359页

作者： o.d.玛金德黄锋(译) 张禄坤(校) 开普半岛理工大学工程系贝尔维尔7535南非不详

研究三阶流体在重力作用下,沿着一个倾斜等温的,带绝热自由表面时薄膜流动的热临界机理.假设是Arrhenius动力学意义下的发热反应,同时不计物质消耗.得到了动量和能量守恒的非线性控制方程,并以MAPLE为工具,基于一种特殊形式的Hermite-Pa... 详细信息

研究三阶流体在重力作用下,沿着一个倾斜等温的,带绝热自由表面时薄膜流动的热临界机理.假设是Arrhenius动力学意义下的发热反应,同时不计物质消耗.得到了动量和能量守恒的非线性控制方程,并以MAPLE为工具,基于一种特殊形式的Hermite-Padé近似技术,使用一种全新的数值逼近方法解之.这种半数值方法比之传统的方法,如有限差分法、频谱法、打靶法等,具有一定的优势.得到了解函数的解析结构,并对全部流动结构的重要性能,包括速度场、温度场、热临界和分岔加以讨论.

关键词：倾斜的等温面三阶流体 Hermite-Pade近似热临界

Magnetohydrodynamic flow and heat transfer impact on Zno-SAE50 nanolubricant flow over an inclined rotating disk

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Journal of Central South University 2019年第5期26卷 1146-1160页

作者： NAYAK M K MEHMo.d.Rashid makinde o.d.MAHIAN o CHAMKHA Ali J department of Physics Radhakrishna Institute of Technology and EngineeringBhubaneswar-752057India department of Mathematics Faculty of Natural ScienceHITEC University Taxila-47070Pakistan Faculty of Military Science Stellenbosch UniversityPrivate Bag X2Saldanha 7395South Africa Center for Advanced Technologies Ferdowsi University of MashhadMashhadIran School of Aeronautic Science and Engineering Beihang UniversityBeijing 100191China Mechanical Engineering department Prince Sultan Endowment for Energy and EnvironmentPrince Mohammad Bin Fahd UniversityAl-Khobar 31952Saudi Arabia RAK Research and Innovation Center American University of Ras Al KhaimahP.O.Box 10021Ras Al KhaimahUnited Arab Emirates

The present article has been fine-tuned with the investigation of mixed convection darcy-Forchheimer flow of Zno-SAE50 oil nanolubricant over an inclined rotating disk under the influence of uniform applied magnetic field applied to various *** current study has been enriched with additional consideration of slip flow,thermal radiation,viscous dissipation,Joulian dissipation and internal *** view of augmentation of thermal co.d.ctivity of nanolubricant,a new micro-nano-convection model namely Patel model has been *** specialty of this model involves the effects of specific surface area and nano-convection due to Brownian motion of nanoparticles,kinetic theory based micro-convection,liquid layering and particle *** transformed governing equations have been solved numerically by using Runge-Kutta-Fehlberg *** analysis of the present study has shown that applied magnetic field,porosity of the medium,velocity slip and inertia coefficient account for the slowing down of radial as well as tangential flow of Zno-SAE50 oil nanolubricant,thereby leading to an improvement in velocity and thermal boundary layers.

关键词： Zno-SAE50 nanofluid darcy-Forchheimer MHd flow thermal radiation velocity slip viscous dissipation internal heating